The data below was recorded during an investigation of the relationship between potential energy and the mass and height of an object.

Height Data

When a 2 kg weight was lifted 3 meters above the floor, it had 58.8 Joules of potential energy.When a 2 kg weight was lifted 6 meters above the floor, its potential energy doubled.
Mass Data

When a 3 kg weight was lifted 2 meters above the floor, it had 58.8 Joules of potential energy.When a 6 kg weight was lifted 2 meters above the floor, its potential energy doubled.
Which of the following graphs BEST represents the relationship between potential energy and the mass and height of an object?

1 answer

The graph that best represents the relationship between potential energy and the mass and height of an object would be a linear equation, since the potential energy doubles when either the mass or the height is doubled.

One possible graph that represents this relationship is a linear graph with potential energy on the y-axis and either mass or height on the x-axis. The line on the graph would have a positive slope, indicating that potential energy increases with mass or height.

However, without the specific options provided, it is not possible to determine the best graph.